Three numbers are in G.P. if each is multiplied by 2, the resulting sequence is

A G.P. with double the common ratio as the original G.P

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A G.P. with the same common ratio as the original G.P

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A G.P. with half the common ratio as the original G.P

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A G.P. with the common ratio 2 more than the common ratio of the original G.P

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Solution

The correct option is A
A G.P. with double the common ratio as the original G.P

Let the G.P. be a,ar,a r² ..

Then the new G.P. is 2a,2ar,2ar².. or (2a),(2a)r,(2a)r²

So we see that the common ratio is same as that of the original G.P.

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Similar questions

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Three numbers are in G.P. if each is multiplied by 2, the resulting sequence is

The correct option is A A G.P. with double the common ratio as the original G.P Let the G.P. be a,ar,a r2 .. Then the new G.P. is 2a,2ar,2ar2.. or (2a),(2a)r,(2a)r2 So we see that the common ratio is same as that of the original G.P.

The correct option is A
A G.P. with double the common ratio as the original G.P

Let the G.P. be a,ar,a r² ..

Then the new G.P. is 2a,2ar,2ar².. or (2a),(2a)r,(2a)r²

So we see that the common ratio is same as that of the original G.P.